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Finding the Fourth Proportional to 417.99, 626.31 and 296.02

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Solution

The fourth proportional to 417.99, 626.31 and 296.02 is: 443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.99 : 626.31 = 296.02 : x
  2. Step 2: Convert to fraction form
    417.99/626.31 = 296.02/x
  3. Step 3: Cross multiply
    417.99x = 626.31 × 296.02
  4. Step 4: Simplify right side
    417.99x = 185,398.72
  5. Step 5: Solve for x
    x = 185,398.72/417.99
  6. Step 6: Final answer
    x = 443.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.